513059217 has 12 divisors (see below), whose sum is σ = 746457264. Its totient is φ = 310866120.

The previous prime is 513059153. The next prime is 513059233. The reversal of 513059217 is 712950315.

It is not a de Polignac number, because 513059217 - 2⁶ = 513059153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (513059917) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128148 + ... + 132090.

It is an arithmetic number, because the mean of its divisors is an integer number (62204772).

Almost surely, 2^513059217 is an apocalyptic number.

It is an amenable number.

513059217 is a deficient number, since it is larger than the sum of its proper divisors (233398047).

513059217 is an frugal number, since it uses more digits than its factorization.

513059217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7900 (or 3957 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 33.

The square root of 513059217 is about 22650.8105152994. The cubic root of 513059217 is about 800.5512955251.

Multiplying 513059217 by its sum of digits (33), we get a square (16930954161 = 130119²).

513059217 divided by its sum of digits (33) gives a square (15547249 = 3943²).

The spelling of 513059217 in words is "five hundred thirteen million, fifty-nine thousand, two hundred seventeen".